NILPOTENCY OF PRODUCTS OF NONNEGATIVE MATRICES

被引：4

作者：

BRU, R

JOHNSON, CR

机构：

[1] UNIV POLITECN VALENCIA,DEPT MATEMA APLICADA,E-46071 VALENCIA,SPAIN

[2] COLL WILLIAM & MARY,DEPT MATH,WILLIAMSBURG,VA 23187

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 1993年 / 23卷 / 01期

关键词：

D O I：

10.1216/rmjm/1181072607

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given m nonnegative n-by-n matrices A1, A2, ..., A(m), we consider the circumstances in which the product A1A2 ... A(m) is nilpotent and also the stronger condition that A1, A2, ..., A(m) are simultaneously permutation similar to strictly upper triangular matrices. These eventualities coincide in the case of a single matrix, but they differ for several matrices and are each characterized in a variety of ways.

引用

页码：5 / 16

页数：12